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Simplifying 3(2x + -2) + -3 = 3(x + -4) + 30 Reorder the terms: 3(-2 + 2x) + -3 = 3(x + -4) + 30 (-2 * 3 + 2x * 3) + -3 = 3(x + -4) + 30 (-6 + 6x) + -3 = 3(x + -4) + 30 Reorder the terms: -6 + -3 + 6x = 3(x + -4) + 30 Combine like terms: -6 + -3 = -9 -9 + 6x = 3(x + -4) + 30 Reorder the terms: -9 + 6x = 3(-4 + x) + 30 -9 + 6x = (-4 * 3 + x * 3) + 30 -9 + 6x = (-12 + 3x) + 30 Reorder the terms: -9 + 6x = -12 + 30 + 3x Combine like terms: -12 + 30 = 18 -9 + 6x = 18 + 3x Solving -9 + 6x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = 18 + 0 -9 + 3x = 18 Add '9' to each side of the equation. -9 + 9 + 3x = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 18 + 9 3x = 18 + 9 Combine like terms: 18 + 9 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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